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poizon [28]
2 years ago
13

Please help on number 3

Mathematics
1 answer:
kobusy [5.1K]2 years ago
5 0

Answer:

Its the first option.

Step-by-step explanation:

3x + y = 5

5x - 4y = -3

From equation 1:

y = - 3x + 5

Substituting for y:

5x - 4(-3x + 5) = -3

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Which one is equivalent what’s the work that goes with it? i’m very confused
Elenna [48]

Answer:

0.8r

Step-by-step explanation:

r - 0.2r

= 1r - 0.2r ← factor out r from each term

= r(1 - 0.2)

= r × 0.8

= 0.8r

5 0
2 years ago
The number of typing errors made by a typist has a Poisson distribution with an average of two errors per page. If more than two
wlad13 [49]

Answer: 0.6767

Step-by-step explanation:

Given : Mean =\lambda=2 errors  per page

Let X be the number of errors in a particular page.

The formula to calculate the Poisson distribution is given by :_

P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}

Now, the probability that a randomly selected page does not need to be retyped is given by :-

P(X\leq2)=P(0)+P(1)+P(2)\\\\=(\dfrac{e^{-2}2^0}{0!}+\dfrac{e^{-2}2^1}{1!}+\dfrac{e^{-2}2^2}{2!})\\\\=0.135335283237+0.270670566473+0.270670566473\\\\=0.676676416183\approx0.6767

Hence, the required probability :- 0.6767

6 0
3 years ago
Potatoes: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 9 ounces and a standard deviatio
katrin2010 [14]

Answer: a)  79.10 %           b) 7%                c)19.85 %

Step-by-step explanation:

a) Z = ( × - μ ) ÷ σ           Where  μ mean of population σ standard               deviation Z is the abscissa to give the area or probability we are looking for associated to the value 10 ounces ( × )

So:  Z = ( 10 - 9 ) ÷ 1.2  ⇒ Z = 1/1.2 ⇒   Z = 0.83  it has to be below this value

From Z tables we get  P [ Z ≤ 0.82 ] = 0.7910  0r  79.10 %

b) Following the same procedure: We look for

P [ Z > ( x - μ ) ÷   σ ]    ⇒   Z  =  ( 12 -10 ) ÷ 1.2  = 2.5

From Z table we get the area under the curve from the left tail up to the point Z < 2.5 ( 2.5 not included) but we were asked for the area out of that previous so 1- 0.9930 = 0.007 is the area we are looking for

So P (b) = 0.007  or 7 %

Finally between the two points above mentioned ( 10 ≤  Z  ≤ 12 ) we use the previous values (taking in consideration the limits, according to the problem statement )

Z ≤ 10     Z ⇒( 10-9  ) ÷ 1.2   Z = 0.7967

Z ≥ 12     Z ⇒ ( 12 - 9 ) ÷ 1.2  Z = 0.9952

The interval is between these two points

0.9952 - 0.7967 = 0.1985   ⇒ or 19.85 %

The attached help in the understanding of the solution

                               

5 0
3 years ago
The price of the bicycle that Rocco wants to buy is $282. How much will Rocco pay for the bicycle if the state tax rate is 4%?
olasank [31]

Answer:

Rocco payes $292.28

Step-by-step explanation:

Because it is an increase so you put 104% over 100% in fraction form and then  you put 282 at the bottom of another part of a fraction then you do 100 divided by 282 and you get 2.82 so then you take that 2.82 and you multiply it by 104% and you get 292.28 you can use a calculator to check but i know i did it correctly


5 0
3 years ago
Which sequence is not equivalent to the others?
Mila [183]
I  THINK its 2. :)                                         Hope i'm right.
6 0
3 years ago
Read 2 more answers
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